Asked by Teyanna Meshae on Jul 08, 2024

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(Scenario: Monopolist) Use Scenario: Monopolist.The deadweight loss from this monopolist's production is: Scenario: Monopolist
The demand curve for a monopolist is P = 75 - 0.5Q,and the monopolist's marginal cost curve is defined using the equation MC = 2Q.Assume also that ATC at the profit-maximizing level of production is equal to $12.50.

A) $31.25.
B) $12.50.
C) $0.00.
D) $30.00.

Deadweight Loss

A loss of economic efficiency that can occur when the equilibrium for a good or a service is not achieved or is not achievable, leading to a mismatch in supply and demand.

Demand Curve

A chart that displays the connection between a product's price and the amount of the product buyers are prepared and able to buy at different price levels.

Marginal Cost Curve

A graphical representation showing how the cost of producing one additional unit of a good changes as the production volume changes.

  • Compute the profits of a monopolist, the surplus of consumers, and the deadweight loss through graphical analysis.
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Shanice PerryJul 13, 2024
Final Answer :
A
Explanation :
To find the deadweight loss, we first need to determine the quantity produced by the monopolist and the quantity that would be produced in a competitive market. The monopolist produces where MR = MC. The demand curve is P = 75 - 0.5Q, so the MR curve, which has the same intercept but twice the slope, is MR = 75 - Q. Setting MR = MC gives 75 - Q = 2Q, solving for Q gives Q = 25. At Q = 25, P = 75 - 0.5(25) = $62.50. In a competitive market, production occurs where P = MC, so 75 - 0.5Q = 2Q, solving for Q gives Q = 30, and P = $60. The deadweight loss is the area of the triangle formed by the difference in quantities and the difference in price at Q = 25 and the competitive quantity. The base of the triangle is 30 - 25 = 5, and the height is $62.50 - $60 = $2.50. The area (deadweight loss) is 0.5 * base * height = 0.5 * 5 * 2.5 = $6.25. However, none of the provided options match this calculation, indicating a mistake in my explanation or a misunderstanding of the provided options. Given the options, my initial explanation does not directly lead to the correct answer, suggesting a need for reevaluation of the calculation or the interpretation of the question's details.